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23122420434 = 23337412771019
BaseRepresentation
bin10101100010001101…
…000010001011010010
32012200102220122212000
4111202031002023102
5334323314423214
614342225414430
71445665221321
oct254215021322
965612818760
1023122420434
119896004783
12459379a416
1322465529a9
141194c780b8
15904e42809
hex5623422d2

23122420434 has 128 divisors (see below), whose sum is σ = 54307411200. Its totient is φ = 7282690560.

The previous prime is 23122420411. The next prime is 23122420483. The reversal of 23122420434 is 43402422132.

23122420434 is a `hidden beast` number, since 2 + 3 + 1 + 224 + 2 + 0 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23122420398 and 23122420407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22690777 + ... + 22691795.

It is an arithmetic number, because the mean of its divisors is an integer number (424276650).

Almost surely, 223122420434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122420434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27153705600).

23122420434 is an abundant number, since it is smaller than the sum of its proper divisors (31184990766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23122420434 is a wasteful number, since it uses less digits than its factorization.

23122420434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23122420434 its reverse (43402422132), we get a palindrome (66524842566).

It can be divided in two parts, 23122 and 420434, that added together give a square (443556 = 6662).

The spelling of 23122420434 in words is "twenty-three billion, one hundred twenty-two million, four hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 82 111 123 222 246 277 333 369 554 666 738 831 999 1019 1107 1517 1662 1998 2038 2214 2493 3034 3057 4551 4986 6114 7479 9102 9171 10249 11357 13653 14958 18342 20498 22714 27306 27513 30747 34071 37703 40959 41779 55026 61494 68142 75406 81918 83558 92241 102213 113109 125337 184482 204426 226218 250674 276723 282263 306639 339327 376011 420209 553446 564526 613278 678654 752022 840418 846789 1017981 1128033 1260627 1545823 1693578 2035962 2256066 2521254 2540367 3091646 3781881 4637469 5080734 7563762 7621101 9274938 10443731 11345643 11572783 13912407 15242202 20887462 22691286 23145566 27824814 31331193 34718349 41737221 62662386 69436698 83474442 93993579 104155047 187987158 208310094 281980737 312465141 428192971 563961474 624930282 856385942 1284578913 2569157826 3853736739 7707473478 11561210217 23122420434